Question

Find the total work done by gravity on a steel ball weighing 4oz as it rolls down a helical track parameterized by r(t) = with 0<=t<=8. I don't get it.. Find the total work done by gravity on a steel ball weighing 4oz as it rolls down a helical track parameterized by r(t) = with 0<=t<=8. I don't get it.. @Mathematics

Answer 1

what's your r(t) lol

Answer 2

\[r(t)=<\cos \pi t,\sin \pi t, 8-t>\]

Answer 3

well w=fd correct?

Answer 4

yeah

Answer 5

and you know xi+yj+zk=r(t)?

Answer 6

basically you're going to need to find the distance and the force of the ball

Answer 7

i believe

Answer 8

basically i believe this is an arclength problem in which it wants you to find also the force of the ball